53380119671424 has 1152 divisors, whose sum is σ = 199877385052800. Its totient is φ = 14055725408256.

The previous prime is 53380119671423. The next prime is 53380119671441. The reversal of 53380119671424 is 42417691108335.

53380119671424 is a `hidden beast` number, since 5 + 3 + 38 + 0 + 119 + 6 + 71 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×53380119671424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53380119671423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14998626957 + ... + 14998630515.

It is an arithmetic number, because the mean of its divisors is an integer number (173504674525).

It is a 1-persistent number, because it is pandigital, but 2⋅53380119671424 = 106760239342848 is not.

Almost surely, 2^{53380119671424} is an apocalyptic number.

53380119671424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53380119671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99938692526400).

53380119671424 is an abundant number, since it is smaller than the sum of its proper divisors (146497265381376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53380119671424 is a wasteful number, since it uses less digits than its factorization.

53380119671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 53380119671424 in words is "fifty-three trillion, three hundred eighty billion, one hundred nineteen million, six hundred seventy-one thousand, four hundred twenty-four".